The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the majo

Post by **answerhappygod** » Wed Nov 24, 2021 9:14 am

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The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randornly select 100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows Average Number of On-Time Arrivals Airport Airline A Airline B Airline Airline D Airport A 81 87 85 72 Airport B 76 74 88 90 Airport 87 88 80 90 Airport 78 78 77 86 Copy Data ANOVA Source of Variation SS dr MS Rows 93.1875 31.0625 Columns 33.6875 3 11.2292

ANOVA Source of Variation SS df MS Rows 93.1875 3 31.0625 Columns 33.6875 3 11.2292 Error 9 45.3958 408.5625 535.4375 Total 15 Copy Data Step 1 of 3: Find the value of the test statistic for testing whether the average number of on time arrivals is the same for the four major airlines Round your answer to two decimal places, if necessary Answer 2 Points Tables E keypad Keyboard Shortcuts F =

Step 2 of 3: Determine whether to reject or fail to regret the null hypothesis of no difference between the average number of on time arrivals for the four major arines State the conclusion in terms of the orginal problem. Liea 0.05 Answer 2 Points Tables Keypad Keyggard Shortcuts Prev We reject the null hypothesis. At the 0.05 level of significance, there is sufficient evidence of a difference among the average number of on-time arrivals for the four major airlines We reject the null hypothesis. At the 0.05 level of significance, there is not sufficient evidence of a difference among the average number of on: time arrivals for the four major arines We fail to reject the nult hypothesis. At the 0.05 level of sigrun cance, there is noe sufficient evidence of a difference among the average number of on time arrivals for the four major airlines We fail to reject the null hypothesis. At the 0.05 level of significance there is sufficient evidence of a difference among the average number of on: time arrivals for the four major airlines a

Step 3 of 3: Was the FAA able to significantly reduce vanation among the observed number of on-time arrivals by blocking Use a = 0,05 Answer 2 Points m Tables Keypad Keyboard Shortcuts 0 The variation in number of on time arrivals is significantly reduced by blocking since we fail to reject the nult hypothesis that the block means are the same at the 0.05 level of significance The variation in number of on-time arrivals is not significantly reduced by blocking since we fail to reject the null hypothesis that the block means are the same at the 0.05 level of significance The variation in number of on-time arrivals is significantly reduced by blocking since we reject the null hypothesis that the block means are the same at the 0.05 level of significance The variation in number of on-time arrivals is not gnificantly reduced by blocking since we reject the null hypothesis that the block means are the same at the 0.05 level of significance